1001111541 has 16 divisors (see below), whose sum is σ = 1366041024. Its totient is φ = 651906944.

The previous prime is 1001111537. The next prime is 1001111567. The reversal of 1001111541 is 1451111001.

It is a cyclic number.

It is not a de Polignac number, because 1001111541 - 2² = 1001111537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001111541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22225 + ... + 49961.

It is an arithmetic number, because the mean of its divisors is an integer number (85377564).

Almost surely, 2^1001111541 is an apocalyptic number.

It is an amenable number.

1001111541 is a deficient number, since it is larger than the sum of its proper divisors (364929483).

1001111541 is a wasteful number, since it uses less digits than its factorization.

1001111541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28020.

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 1001111541 is about 31640.3467269245. The cubic root of 1001111541 is about 1000.3703764710.

Adding to 1001111541 its reverse (1451111001), we get a palindrome (2452222542).

The spelling of 1001111541 in words is "one billion, one million, one hundred eleven thousand, five hundred forty-one".